Approximation by harmonic functions in the \(C^ 1\)-norm and harmonic \(C^ 1\)-content of compact subsets in \(\mathbb{R}^ n\)

DOI10.1007/BF01210218zbMath0805.31002MaRDI QIDQ1326071

Paul M. Gauthier, Peter V. Paramonov

Publication date: 13 July 1994

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

capacityharmonic functionharmonic approximation

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Approximation by other special function classes (41A30)

Cites Work

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• Annihilating measures of the algebra R(X)
• On uniform approximation by harmonic functions
• Projections of polynomial hulls
• Confromal invariants and function-theoretic null-sets
• Symmetry and Uniform Approximation by Analytic Functions
• The Isoperimetric Inequality and Rational Approximation

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